Difference between revisions of "Euler's number"
| Line 1: | Line 1: | ||
| − | The [[mathematical constant]] ''e'' is defined as the following [[limit]]: <math>e=\lim_{n | + | The [[mathematical constant]] ''e'' is defined as the following [[limit]]: <math>e=\lim_{n\rightarrow \infty}{(1+\frac1n)}^n</math>. |
In [[calculus]], the fact that <math>e^x = \sum{\frac{x^n}{n!}}</math> is used often, based on the above definition and the [[Binomial Theorem]]. | In [[calculus]], the fact that <math>e^x = \sum{\frac{x^n}{n!}}</math> is used often, based on the above definition and the [[Binomial Theorem]]. | ||
Revision as of 19:20, 23 June 2006
The mathematical constant e is defined as the following limit: 
.
In calculus, the fact that 
is used often, based on the above definition and the Binomial Theorem.
